Stability of attractive Bose-Einstein condensates in a periodic potential

J. C. Bronski; L. D. Carr; R. Carretero-González; B. Deconinck; J. N. Kutz; K. Promislow

doi:10.1103/PhysRevE.64.056615

Stability of attractive Bose-Einstein condensates in a periodic potential

J. C. Bronski, L. D. Carr, R. Carretero-González, B. Deconinck, J. N. Kutz, K. Promislow

Mathematics

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Abstract

The attractive nonlinear Schrödinger equation with an elliptic function potential was considered as a model for trapped, quasi-one-dimensional Bose-Einstein condensate. Two new families of periodic solutions of this equation were found and their stability was investigated both analytically and numerically. In addition, stable time-periodic solutions were analyzed. The resulting data was analyzed in detail.

Original language	English (US)
Article number	056615
Pages (from-to)	056615/1-056615/9
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	5 II
DOIs	https://doi.org/10.1103/PhysRevE.64.056615
State	Published - Nov 2001

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.64.056615

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AU - Kutz, J. N.

AU - Promislow, K.

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Stability of attractive Bose-Einstein condensates in a periodic potential

Abstract

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